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This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it. Hilbert space - Wikipedia The mathematical concept of a Hilbert space named after David Hilbert generalizes the notion of Euclidean space. It extends the methods of vector algebra and ... Duality (mathematics) - Wikipedia Introductory examples. In the words of Michael Atiyah Duality in mathematics is not a theorem but a "principle". The following list of examples shows the common ... [ihtik.lib.ru] _ [ihtik.lib.ru] _. : 14292 : 573 GB; ; d:\_ihtik.lib.ru\2012.03 ... Eurasc - News - European Academy of Sciences Quantum Europe 2016: a new era of technology. The Netherlands is holding this conference in the context of the Presidency of The European Union in cooperation with ... Eurasc - New Members - eurasc.org List of the new elected members to the European Academy of Sciences
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